212979975710432 has 96 divisors (see below), whose sum is σ = 488355629356224. Its totient is φ = 89534914560000.

The previous prime is 212979975710419. The next prime is 212979975710477. The reversal of 212979975710432 is 234017579979212.

It is a super-2 number, since 2×212979975710432² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51196682 + ... + 55200182.

It is an arithmetic number, because the mean of its divisors is an integer number (5087037805794).

Almost surely, 2^{212979975710432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212979975710432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244177814678112).

212979975710432 is an abundant number, since it is smaller than the sum of its proper divisors (275375653645792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212979975710432 is a wasteful number, since it uses less digits than its factorization.

212979975710432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4008052 (or 4008044 counting only the distinct ones).

The product of its (nonzero) digits is 120022560, while the sum is 68.

The spelling of 212979975710432 in words is "two hundred twelve trillion, nine hundred seventy-nine billion, nine hundred seventy-five million, seven hundred ten thousand, four hundred thirty-two".